Given numbers are 420,776,823,390,416

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 420,776,823,390,416 is 3487018080.

Find LCM of 420,776,823,390,416 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 5 x 13 x 7 x 97 x 823 x 1 x 4 = 3487018080

Therefore, the lowest common multiple of 420,776,823,390,416 is 3487018080.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

420 x 776 x 823 x 390 x 416 = 43517985638400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

776 : 1, 2, 4, 8, 97, 194, 388, 776

823 : 1, 823

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,776,823,390,416, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

776:2x 2x 2x 97

823:823

390:2x 3x 5x 13

416:2x 2x 2x 2x 2x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 3x 5x 13 = 12480

Therefore, the value for common factors is 12480.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 43517985638400/(1x12480)

LCM = 43517985638400/12480

LCM = 3487018080

Thus, we can understand that the LCM of 420,776,823,390,416 is 3487018080.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 626, 363, 878, 342, 565
• LCM of 394, 290, 279, 954, 405
• LCM of 298, 237, 733, 933, 330
• LCM of 475, 247, 420, 376, 231
• LCM of 292, 279, 455, 468, 167

1. What is the LCM of 420, 776, 823, 390, 416?

Answer: LCM of 420, 776, 823, 390, 416 is 3487018080.

2. How to calculate the LCM of 420, 776, 823, 390, 416?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 420, 776, 823, 390, 416.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.